Nonlinear cancer chemotherapy: Modelling the Norton-Simon hypothesis

Author(s)

Lopez, Alvaro G. ^[1] ; Iarosz, Kelly C. ^{[2, 3]} ; Batista, Antonio M. ^[4] ; Seoane, Jesus M. ^[1] ; Vianae, Ricardo L. ^[5] ; Sanjuan, Miguel A. F. ^{[6, 1]}

Affiliation

^[1] Univ Rey Juan Carlos, Dept Phys, Nonlinear Dynam Chaos & Complex Syst Grp, Tulipan S-N, Madrid 28933 - Spain

^[2] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany

^[3] Univ Sao Paulo, Phys Inst, BR-05508090 Sao Paulo, SP - Brazil

^[4] Univ Estadual Ponta Grossa, Dept Math & Stat, BR-84030900 Ponta Grossa, PR - Brazil

^[5] Univ Fed Parana, Dept Phys, BR-81531990 Curitiba, Parana - Brazil

^[6] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 - USA

• Document type: Journal article
• Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 70, p. 307-317, MAY 2019.
• Web of Science Citations: 3

Abstract

A fundamental model of tumor growth in the presence of cytotoxic chemotherapeutic agents is formulated. The model allows to study the role of the Norton-Simon hypothesis in the context of dose-dense chemotherapy. Dose-dense protocols aim at reducing the period between courses of chemotherapy from three weeks to two weeks, in order to avoid tumor regrowth between cycles. We address the conditions under which these protocols might be more or less beneficial in comparison to less dense settings, depending on the sensitivity of the tumor cells to the cytotoxic drugs. The effects of varying other parameters of the protocol, as for example the duration of each continuous drug infusion, are also inspected. We believe that the present model might serve as a foundation for the development of more sophisticated models for cancer chemotherapy. (C) 2018 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 17/20920-8 - Plasticity in neuronal networks
• Grantee: Kelly Cristiane Iarosz
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 15/07311-7 - Dynamic behaviour of neural networks
• Grantee: Kelly Cristiane Iarosz
• Support Opportunities: Scholarships in Brazil - Post-Doctoral